Functions & Formulae

Each applied formula has its own function page, with a signature, implementations, and tests.

Dominance classification function

s(C_j,E_j) = DOM_j

Maps the expected costs and expected health effects of mutually exclusive options to a classification of which options are dominated, a result that holds at every non-negative cost-effectiveness threshold.

  • Pairwise dominance rule including ties

    DOM = (Delta_C <= 0) and (Delta_E >= 0) and (Delta_C < 0 or Delta_E > 0)

    Classifies whether an intervention dominates its comparator: it costs no more, produces no less health and is strictly better on at least one of the two. The intervention is dominated when the same rule holds with the comparison reversed.

  • Multi-option dominance screen

    DOM_k = 1 if some j (j = 1 to J, j not equal to k) has C_j <= C_k and E_j >= E_k and (C_j < C_k or E_j > E_k); otherwise DOM_k = 0

    Flags option k as dominated when any other option in the set costs no more, produces no less health and is strictly better on at least one of the two. Flagged options are removed before sequential ICERs are calculated.